Question

What are the slope and the y-intercept of the linear function that is represented by the table? X -1, -1/2, 0, 1/2 Y -3/2, 0. 3/2, 3

Answer 1

Answer: Slope: 3, Y-intercept: 3/2

Step-by-step explanation:

x             y

-1         -3/2

-1/2        0

0          3/2

1/2         3

Since we are given an x,y table, we can easily spot the y-intercept. The y-intercept has the x value of 0. Therefore, the y-intercept is 3/2.

Now, we can use the formula $m=\frac{y_{2}-y_{1} }{x_{2} -x_{1} }$ to find the slope.

$m=\frac{\frac{3}{2} -0}{0-(-\frac{1}{2})}$

$m=\frac{\frac{3}{2} }{\frac{1}{2} } =\frac{3}{2} *2=3$

Slope: 3

Y-intercept: 3/2